Answer:
C ≈ 22.1°
Step-by-step explanation:
The law of cosines formula is given. Solving it for C, we find ...
C = arccos((a^2 +b^2 -c^2)/(2ab))
where a and b are the sides adjacent to the angle.
Then we have ...
C = arccos((14^2 +19^2 -8^2)/(2·14·19)) = arccos(493/532)
C ≈ 22.1°
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If you have a fair number of these to do, a spreadsheet is a useful tool. There are also triangle solver apps on the web or your local smart platform that will do this, too.
Answer:
160
Step-by-step explanation:
800 gallons in 5 days. The days is the denominator and the gallons are the numerator, whatever you do the the bottom you do to the top, so you divide the denominator by 5 and the numerator by 5 and you get 160 gallons per day. If you want to know how your answer is right, multiply 160 by 5
For the options C, D, and E, (where the 3 sides are given) result in the construction of unique triangles.
<h3>Which conditions will result in the construction of a unique triangle?</h3>
We will have unique triangles only if the length of the 3 sides are completely determined, so we need to know the 3 sides, or two sides and one angle.
With that in mind, for options C, D, and E (in the 3 cases the 3 sides of the triangles are given). Then for these 3 options, we can make a unique triangle.
While for the first two options, where we only know the angles, we can make infinite triangles.
If you want to learn more about triangles:
brainly.com/question/2217700
#SPJ1
The answer is D. The frequencies do not appear to be equally likely, so a uniform model is not accurate.
Answer:
The principle of limited government is an example of the idea that the government does not stand above the law. The Principle of Federalism divides the power of the government among the different levels of the government (national, state, local).
Step-by-step explanation: